Write in Standard Form -x^2-2-x=-4-2x^2+5x

$- x^{2} - 2 - x = - 4 - 2 x^{2} + 5 x$

Step 1

Move all the expressions to the left side of the equation.

Add $4$ to both sides of the equation.

$- x^{2} - 2 - x + 4 = - 2 x^{2} + 5 x$

Add $2 x^{2}$ to both sides of the equation.

$- x^{2} - 2 - x + 4 + 2 x^{2} = 5 x$

Subtract $5 x$ from both sides of the equation.

$- x^{2} - 2 - x + 4 + 2 x^{2} - 5 x = 0$

Step 2

Simplify $- x^{2} - 2 - x + 4 + 2 x^{2} - 5 x$ .

Add $- x^{2}$ and $2 x^{2}$ .

$x^{2} - 2 - x + 4 - 5 x = 0$

Add $- 2$ and $4$ .

$x^{2} - x + 2 - 5 x = 0$

Subtract $5 x$ from $- x$ .

$x^{2} - 6 x + 2 = 0$

Step 3

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c = 0$

Step 4

The standard form is $x^{2} - 6 x + 2$ .

$x^{2} - 6 x + 2 = 0$

Step 5